On a hot summer day,the temperature is 40.0°C and the pressure is 1.01 × 10⁵ Pa.Let us model the air as all nitrogen of molecular mass 28.0 g/mol having molecules of diameter that are moving at their root-mean-square speed.Avogadro's number is molecules/mol,the ideal gas constant is 8.31 J/mol • K,and the Boltzmann constant is .Calculate reasonable estimates for
(a)the root-mean-square speed of the nitrogen molecules.
(b)the average distance a typical molecule travels between collisions.
(c)the average time a molecule travels between collisions,assuming that the molecules are moving at their root-mean-square speeds.
(d)the number of collisions an average molecule undergoes per second.

Question

On a hot summer day,the temperature is 40.0°C and the pressure is 1.01 × 10⁵ Pa.Let us model the air as all nitrogen of molecular mass 28.0 g/mol having molecules of diameter

On a hot summer day,the temperature is 40.0°C and the pressure is 1.01 × 10<sup>5</sup> Pa.Let us model the air as all nitrogen of molecular mass 28.0 g/mol having molecules of diameter that are moving at their root-mean-square speed.Avogadro's number is molecules/mol,the ideal gas constant is 8.31 J/mol • K,and the Boltzmann constant is .Calculate reasonable estimates for (a)the root-mean-square speed of the nitrogen molecules. (b)the average distance a typical molecule travels between collisions. (c)the average time a molecule travels between collisions,assuming that the molecules are moving at their root-mean-square speeds. (d)the number of collisions an average molecule undergoes per second.

that are moving at their root-mean-square speed.Avogadro's number is

molecules/mol,the ideal gas constant is 8.31 J/mol • K,and the Boltzmann constant is

.Calculate reasonable estimates for
(a)the root-mean-square speed of the nitrogen molecules.
(b)the average distance a typical molecule travels between collisions.
(c)the average time a molecule travels between collisions,assuming that the molecules are moving at their root-mean-square speeds.
(d)the number of collisions an average molecule undergoes per second.

Quizplus · Accepted Answer

The Answer of On a hot summer day,the temperature is 40.0°C and the pressure is 1.01 × 10⁵ Pa.Let us model the air as all nitrogen of molecular mass 28.0 g/mol having molecules of diameter that are moving at their root-mean-square speed.Avogadro's number is molecules/mol,the ideal gas constant is 8.31 J/mol • K,and the Boltzmann constant is .Calculate reasonable estimates for (a)the root-mean-square speed of the nitrogen molecules. (b)the average distance a typical molecule travels between collisions. (c)the average time a molecule travels between collisions,assuming that the molecules are moving at their root-mean-square speeds. (d)the number of collisions an average molecule undergoes per second.

On a Hot Summer Day,the Temperature Is 40